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Finding the Fourth Proportional to 2,867.78, 4,302.98 and 1,700.10

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Solution

The fourth proportional to 2,867.78, 4,302.98 and 1,700.10 is: 2,550.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.78 : 4,302.98 = 1,700.10 : x
  2. Step 2: Convert to fraction form
    2,867.78/4,302.98 = 1,700.10/x
  3. Step 3: Cross multiply
    2,867.78x = 4,302.98 × 1,700.10
  4. Step 4: Simplify right side
    2,867.78x = 7,315,496.30
  5. Step 5: Solve for x
    x = 7,315,496.30/2,867.78
  6. Step 6: Final answer
    x = 2,550.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.